138357792274291200
138,357,792,274,291,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 138357792274291200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2520 divisors.
138357792274291200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 138357792274291200:
29 × 36 × 52 × 13 × 17 × 81912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 17 × 8191 × 8191)See below for interesting mathematical facts about the number 138357792274291200 from the Numbermatics database.
Names of 138357792274291200
- Cardinal: 138357792274291200 can be written as One hundred thirty-eight quadrillion, three hundred fifty-seven trillion, seven hundred ninety-two billion, two hundred seventy-four million, two hundred ninety-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.383577922742912 × 1017
Factors of 138357792274291200
Divisors of 138357792274291200
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 64 65 68 72 75 78 80 81 85 90 96 100 102 104 108 117 120 128 130 135 136 144 150 153 156 160 162 170 180 192 195 200 204 208 216 221 225 234 240 243 255 256 260 270 272 288 300 306 312 320 324 325 340 351 360 384 390 400 405 408 416 425 432 442 450 459 468 480 486 510 512 520 540 544 576 585 600 612 624 640 648 650 663 675 680 702 720 729 765 768 780 800 810 816 832 850 864 884 900 918 936 960 972 975 1020 1040 1053 1080 1088 1105 1152 1170 1200 1215 1224 1248 1275 1280 1296 1300 1326 1350 1360 1377 1404 1440 1458 1530 1536 1560 1600 1620 1632 1664 1700 1728 1755 1768 1800 1836 1872 1920 1944 1950 1989 2025 2040 2080 2106 2160 2176 2210 2295 2304 2340 2400 2430 2448 2496 2550 2560 2592 2600 2652 2700 2720 2754 2808 2880 2916 2925 3060 3120 3159 3200 3240 3264 3315 3328 3400 3456 3510 3536 3600 3645 3672 3744 3825 3840 3888 3900 3978 4050 4080 4131 4160 4212 4320 4352 4420 4590 4608 4680 4800 4860 4896 4992 5100 5184 5200 5265 5304 5400 5440 5508 5525 5616 5760 5832 5850 5967 6075 6120 6240 6318 6400 6480 6528 6630 6656 6800 6885 6912 7020 7072 7200 7290 7344 7488 7650 7680 7776 7800 7956 8100 8160 8191 8262 8320 8424 8640 8704 8775 8840 9180 9360 9477 9600 9720 9792 9945 9984 10200 10368 10400 10530 10608 10800 10880 11016 11050 11232 11475 11520 11664 11700 11934 12150 12240 12393 12480 12636 12800 12960 13056 13260 13600 13770 13824 14040 14144 14400 14580 14688 14976 15300 15552 15600 15795 15912 16200 16320 16382 16524 16575 16640 16848 17280 17550 17680 17901 18225 18360 18720 18954 19200 19440 19584 19890 19968 20400 20655 20736 20800 21060 21216 21600 21760 22032 22100 22464 22950 23040 23328 23400 23868 24300 24480 24573 24786 24960 25272 25920 26112 26325 26520 27200 27540 28080 28288 28800 29160 29376 29835 29952 30600 31104 31200 31590 31824 32400 32640 32764 33048 33150 33280 33696 34425 34560 35100 35360 35802 36450 36720 37440 37908 38400 38880 39168 39780 40800 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7206135014286 7299661932800 7390907706960 7535827465920 7591648410112 7729053811200 7825666983840 7883634887424 8006816682540 8212119674400 8314771170330 8347378116096 8373141628800 8445720441600 8477805899160 8540604461376 8695185537600 8759594319360 8869089248352 8896462980600 9042992959104 9238634633700 9419784332400 9489560512640 9608180019048 9782083729800 9854543609280 10008520853175 10047769954560 10173367078992 10434222645120 10597257373950 10675755576720 10809202521429 10949492899200 11086361560440 11164188838400 11303741198880 11387472615168 11593580716800 11825452331136 11861950640800 12010225023810 12057323945472 12318179511600 12521067174144 12559712443200 12716708848740 12810906692064 13042778306400 13139391479040 13303633872528 13344694470900 13564489438656 13857951950550 13912296860160 14129676498600 14234340768960 14412270028572 14599323865600 14781815413920 15071654931840 15651333967680 15767269774848 15895886060925 16013633365080 16424239348800 16629542340660 16746283257600 16891440883200 16955611798320 17081208922752 17390371075200 17738178496704 17792925961200 18015337535715 18085985918208 18477269267400 18839568664800 18979121025280 19216360038096 19564167459600 19709087218560 20017041706350 20095539909120 20346734157984 20786927925825 20868445290240 21194514747900 21351511153440 21618405042858 21898985798400 22172723120880 22607482397760 22774945230336 23187161433600 23650904662272 23723901281600 24020450047620 24636359023200 25042134348288 25119424886400 25433417697480 25621813384128 26085556612800 26278782958080 26607267745056 26689388941800 27128978877312 27715903901100 28259352997200 28468681537920 28824540057144 29563630827840 30025562559525 30143309863680 31302667935360 31791772121850 32027266730160 32848478697600 33259084681320 33492566515200 33911223596640 34162417845504 34780742150400 35476356993408 35585851922400 36030675071430 36171971836416 36954538534800 37679137329600 37958242050560 38432720076192 39128334919200 39418174437120 40034083412700 40693468315968 41573855851650 41736890580480 42389029495800 42703022306880 43236810085716 43797971596800 44345446241760 45214964795520 47301809324544 47447802563200 48040900095240 49272718046400 50238849772800 50866835394960 51243626768256 52171113225600 53214535490112 53378777883600 54046012607145 54257957754624 55431807802200 56518705994400 56937363075840 57649080114288 59127261655680 60051125119050 60286619727360 62605335870720 63583544243700 64054533460320 65696957395200 66518169362640 67822447193280 68324835691008 69561484300800 70952713986816 71171703844800 72061350142860 73909077069600 75358274659200 76865440152384 78256669838400 78836348874240 80068166825400 81386936631936 83147711703300 84778058991600 85406044613760 86473620171432 88690892483520 90076687678575 90429929591040 94895605126400 96081800190480 98545436092800 100477699545600 101733670789920 102487253536512 104342226451200 106429070980224 106757555767200 108092025214290 108515915509248 110863615604400 113037411988800 113874726151680 115298160228576 118254523311360 120102250238100 125210671741440 127167088487400 128109066920640 131393914790400 133036338725280 135644894386560 141905427973632 142343407689600 144122700285720 147818154139200 150716549318400 153730880304768 156513339676800 160136333650800 162773873263872 166295423406600 169556117983200 170812089227520 172947240342864 177381784967040 180153375357150 180859859182080 189791210252800 192163600380960 197090872185600 203467341579840 204974507073024 208684452902400 212858141960448 213515111534400 216184050428580 221727231208800 226074823977600 230596320457152 236509046622720 240204500476200 254334176974800 256218133841280 266072677450560 270230063035725 271289788773120 284686815379200 288245400571440 295636308278400 301433098636800 307461760609536 313026679353600 320272667301600 325547746527744 332590846813200 339112235966400 341624178455040 345894480685728 354763569934080 360306750714300 384327200761920 394181744371200 406934683159680 425716283920896 427030223068800 432368100857160 443454462417600 452149647955200 461192640914304 480409000952400 508668353949600 512436267682560 532145354901120 540460126071450 542579577546240 569373630758400 576490801142880 591272616556800 614923521219072 626053358707200 640545334603200 665181693626400 678224471932800 691788961371456 709527139868160 720613501428600 768654401523840 813869366319360 854060446137600 864736201714320 886908924835200 904299295910400 922385281828608 960818001904800 1017336707899200 1024872535365120 1064290709802240 1080920252142900 1152981602285760 1182545233113600 1281090669206400 1330363387252800 1356448943865600 1383577922742912 1441227002857200 1537308803047680 1627738732638720 1708120892275200 1729472403428640 1773817849670400 1844770563657216 1921636003809600 2034673415798400 2128581419604480 2161840504285800 2305963204571520 2562181338412800 2660726774505600 2712897887731200 2767155845485824 2882454005714400 3074617606095360 3458944806857280 3547635699340800 3843272007619200 4069346831596800 4323681008571600 4611926409143040 5124362676825600 5321453549011200 5534311690971648 5764908011428800 6917889613714560 7686544015238400 8138693663193600 8647362017143200 9223852818286080 10642907098022400 11529816022857600 13835779227429120 15373088030476800 17294724034286400 23059632045715200 27671558454858240 34589448068572800 46119264091430400 69178896137145600 138357792274291200
- Sum of all divisors σ(n): 586117793931757164
- Sum of proper divisors (its aliquot sum) s(n): 447760001657465964
- 138357792274291200 is an abundant number, because the sum of its proper divisors (447760001657465964) is greater than itself. Its abundance is 309402209383174764
Bases of 138357792274291200
- Binary: 1111010111000101110101101110101000110101010011010000000002
- Hexadecimal: 0x1EB8BADD46A9A00
- Base-36: 11UBQSAZS000
Squares and roots of 138357792274291200
- 138357792274291200 squared (1383577922742912002) is 19142878683015913669296462397440000
- 138357792274291200 cubed (1383577922742912003) is 2648566432356672881565331310168554679228694528000000
-
The
square root of 138357792274291200 is 371964772.8942771807 -
The
cube root of 138357792274291200 is 517211.1448880449
Scales and comparisons
How big is 138357792274291200?- 138,357,792,274,291,200 seconds is equal to 4,399,349,825 years, 29 weeks, 5 days.
-
To count from 1 to 138,357,792,274,291,200 would take you about thirteen billion, one hundred ninety-eight million, forty-nine thousand, four hundred seventy-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138357792274291200 cubic inches would be around 43100.9 feet tall.
Recreational maths with 138357792274291200
- 138357792274291200 backwards is 002192472297753831
- 138357792274291200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138357792274291200's digits is 72
- More coming soon!
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"Number 138357792274291200 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 138357792274291200 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138357792274291200/
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The information we have on file for 138357792274291200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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